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Finding the Third Proportional to 84.80 and 191.74

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Solution

The third proportional to 84.80 and 191.74 is: 433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.80 : 191.74 = 191.74 : x
  2. Step 2: Convert to fraction form
    84.80/191.74 = 191.74/x
  3. Step 3: Cross multiply
    84.80x = 191.74 × 191.74
  4. Step 4: Simplify right side
    84.80x = 36,765.07
  5. Step 5: Solve for x
    x = 36,765.07/84.80
  6. Step 6: Final answer
    x = 433.57

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.